The band Honduras seem to be influenced by 70's rock music. They definitely have a punk quality and some hints of New Wave influence. They also have a tendency to make songs which are kind of epic with long intros and big buildups going into the chorus, kind of like mainstream rock from the late 70s.

This of course makes sense for a band which formed in Brooklyn this decade. They remind me of Beach Fossils but a bit more punk. Those bands clearly have some of the same influences, let's put it that way.